Quartic Gradient Flow

Quartic Gradient Flow

Blog Article

Saddle-point configurations, such as the Euclidean Utility Hooks bounce and sphalerons, are known to be difficult to find numerically.In this letter we study a new method, Quartic Gradient Flow, to search for such configurations.The central idea is to introduce a gradient-flow-like equation in such a way that all the fluctuations around the Autographed saddle-point have eigenvalues that are square of the eigenvalues of the original quadratic operator.

We illustrate how the method works for the Euclidean bounce and sphalerons.